Variational formulation of a contact problem for linearly elastic and physically nonlinear shallow shells

DOI10.1016/0021-8928(82)90018-1zbMath0535.73092OpenAlexW2047177049MaRDI QIDQ791366

G. I. L'vov

Publication date: 1983

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(82)90018-1

zbMATH Keywords

Sobolev spaceexistenceLions-Stampachia method of variational inequalitiesminimizing a Lagrange functionalphysically nonlinear shallow shellsset of allowable displacementssmooth absolutely rigid stampwithout friction

Mathematics Subject Classification ID

Contact in solid mechanics (74M15) Membranes (74K15) Uniqueness of solutions of dynamical problems in solid mechanics (74H25) Uniqueness of solutions of equilibrium problems in solid mechanics (74G30) Theories of friction (tribology) (74A55)

Related Items (1)

The contact problem for a shallow shell with a crack

Cites Work

• On some direct methods and theexistence of solution in the nonlinear theory of elastic nonshallow shells of revolution
• On the Hertz problem for linearly and nonlinearly elastic bodies of finite dimensions
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